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Finding the Fourth Proportional to 657.94, 906.88 and 604.30

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Solution

The fourth proportional to 657.94, 906.88 and 604.30 is: 832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.94 : 906.88 = 604.30 : x
  2. Step 2: Convert to fraction form
    657.94/906.88 = 604.30/x
  3. Step 3: Cross multiply
    657.94x = 906.88 × 604.30
  4. Step 4: Simplify right side
    657.94x = 548,021.54
  5. Step 5: Solve for x
    x = 548,021.54/657.94
  6. Step 6: Final answer
    x = 832.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.